{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# 机器学习中的几个重要概念"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "6767f2df0501e0cd"
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-11-12T11:20:49.117546Z",
     "start_time": "2025-11-12T11:20:49.114562Z"
    }
   },
   "id": "19a5e66e6f24cbe9"
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 33 entries, 0 to 32\n",
      "Data columns (total 2 columns):\n",
      " #   Column           Non-Null Count  Dtype  \n",
      "---  ------           --------------  -----  \n",
      " 0   YearsExperience  33 non-null     float64\n",
      " 1   Salary           33 non-null     float64\n",
      "dtypes: float64(2)\n",
      "memory usage: 656.0 bytes\n"
     ]
    }
   ],
   "source": [
    "df = pd.read_csv('Salary_Data.csv')\n",
    "df.info()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-11-12T11:20:49.914117Z",
     "start_time": "2025-11-12T11:20:49.906833Z"
    }
   },
   "id": "dd56a05ab57547f2"
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " \n",
      "2.281 x + 7.003\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = df['YearsExperience']\n",
    "y = df['Salary']\n",
    "fit = np.poly1d(np.polyfit(x, y, 1))\n",
    "print(fit)\n",
    "plt.title('Salary vs Years Experience')\n",
    "plt.xlabel('Years Experience')\n",
    "plt.ylabel('Salary')\n",
    "plt.scatter(x,y, color='red',label='Data points')\n",
    "plt.plot(x,fit(x))\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-11-12T11:20:50.590174Z",
     "start_time": "2025-11-12T11:20:50.545583Z"
    }
   },
   "id": "fe49d9095a9e862"
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "interactive(children=(IntSlider(value=0, description='w', min=-100), IntSlider(value=0, description='b', min=-…",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "f11bba4b152746bb87a7141b9d805507"
      }
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<function __main__.plot_pred(w, b)>"
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def plot_pred(w, b):\n",
    "  y_pred = x*w + b\n",
    "  plt.plot(x, y_pred, color=\"blue\", label=\"yuce\")\n",
    "  plt.scatter(x, y, marker=\"x\", color=\"red\", label=\"zhenshi\")\n",
    "  plt.title('Salary vs Years Experience')\n",
    "  plt.xlabel('Years Experience')\n",
    "  plt.ylabel('Salary')\n",
    "  plt.xlim([0, 12])\n",
    "  plt.ylim([-60, 140])\n",
    "  plt.legend()\n",
    "  plt.show()\n",
    "plot_pred(-5, -30)\n",
    "from ipywidgets import interact\n",
    "\n",
    "interact(plot_pred, w=(-100, 100, 1), b=(-100, 100, 1))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-11-12T11:20:51.161959Z",
     "start_time": "2025-11-12T11:20:51.044425Z"
    }
   },
   "id": "63e04787456690c"
  },
  {
   "cell_type": "markdown",
   "source": [
    "# Loss Function - 损失函数"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "43b88fd410e71093"
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "outputs": [],
   "source": [
    "def compute_cost(x, y, w, b):\n",
    "  y_pred = w*x + b\n",
    "  cost = (y - y_pred)**2\n",
    "  cost = cost.sum() / len(x)\n",
    "\n",
    "  return cost"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-11-12T11:28:08.152629Z",
     "start_time": "2025-11-12T11:28:08.148774Z"
    }
   },
   "id": "b928c2f07733679f"
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "outputs": [
    {
     "data": {
      "text/plain": "[<matplotlib.lines.Line2D at 0x158aa36d0>]"
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cost_value = []\n",
    "for w in range(-100, 101):\n",
    "  cost = compute_cost(x, y, w,0)\n",
    "  cost_value.append(cost)\n",
    "plt.plot(cost_value)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-11-12T11:29:41.577190Z",
     "start_time": "2025-11-12T11:29:41.508578Z"
    }
   },
   "id": "cabca8c978e3696"
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "outputs": [
    {
     "data": {
      "text/plain": "[<matplotlib.lines.Line2D at 0x158335550>]"
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cost_value = []\n",
    "for b in range(-100, 101):\n",
    "  cost = compute_cost(x, y,2,b)\n",
    "  cost_value.append(cost)\n",
    "plt.plot(cost_value)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-11-12T11:29:42.393715Z",
     "start_time": "2025-11-12T11:29:42.328529Z"
    }
   },
   "id": "438c6d592bf5142"
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "outputs": [
    {
     "data": {
      "text/plain": "array([[461185.0069697 , 459973.36757576, 458763.72818182, ...,\n        260286.4069697 , 259470.76757576, 258657.12818182],\n       [453468.4380303 , 452266.56227273, 451066.68651515, ...,\n        254503.0380303 , 253697.16227273, 252893.28651515],\n       [445817.42      , 444625.30787879, 443435.19575758, ...,\n        248785.22      , 247989.10787879, 247194.99575758],\n       ...,\n       [211743.7369697 , 212465.29757576, 213188.85818182, ...,\n        393618.7369697 , 394736.29757576, 395855.85818182],\n       [217006.2480303 , 217737.57227273, 218470.89651515, ...,\n        400814.4480303 , 401941.77227273, 403071.09651515],\n       [222334.31      , 223075.39787879, 223818.48575758, ...,\n        408075.71      , 409212.79787879, 410351.88575758]])"
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "ws = np.arange(-100, 101)\n",
    "bs = np.arange(-100, 101)\n",
    "costs = np.zeros((201, 201))\n",
    "\n",
    "i = 0\n",
    "for w in ws: \n",
    "  j = 0\n",
    "  for b in bs: \n",
    "    cost = compute_cost(x, y, w, b)\n",
    "    costs[i,j] = cost\n",
    "    j = j+1\n",
    "  i = i+1\n",
    "\n",
    "costs"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-11-12T11:31:36.461442Z",
     "start_time": "2025-11-12T11:31:31.552802Z"
    }
   },
   "id": "47a8d11da100e636"
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 8722 (\\N{MINUS SIGN}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 700x700 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "当w=[2], b=[8] 会有最小的cost:[2.87151515]\n"
     ]
    }
   ],
   "source": [
    "import matplotlib as mpl \n",
    "from matplotlib.font_manager import fontManager\n",
    "\n",
    "fontManager.addfont(\"SimHei.ttf\")\n",
    "mpl.rc('font', family=\"SimHei\")\n",
    "\n",
    "plt.figure(figsize=(7, 7))\n",
    "ax = plt.axes(projection=\"3d\")\n",
    "ax.view_init(10, 40)\n",
    "ax.xaxis.set_pane_color((0, 0, 0))\n",
    "ax.yaxis.set_pane_color((0, 0, 0))\n",
    "ax.zaxis.set_pane_color((0, 0, 0))\n",
    "\n",
    "b_grid, w_grid = np.meshgrid(bs, ws)\n",
    "# https://wangyeming.github.io/2018/11/12/numpy-meshgrid/\n",
    "\n",
    "ax.plot_surface(w_grid, b_grid, costs, cmap=\"Spectral_r\", alpha=0.7)\n",
    "ax.plot_wireframe(w_grid, b_grid, costs, color=\"black\", alpha=0.1)\n",
    "\n",
    "ax.set_title(\"w b 对应的 cost\")\n",
    "ax.set_xlabel(\"w\")\n",
    "ax.set_ylabel(\"b\")\n",
    "ax.set_zlabel(\"cost\")\n",
    "\n",
    "w_index, b_index = np.where(costs == np.min(costs))\n",
    "ax.scatter(ws[w_index], bs[b_index], costs[w_index, b_index], color=\"red\", s=40)\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print(f\"当w={ws[w_index]}, b={bs[b_index]} 会有最小的cost:{costs[w_index, b_index]}\")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-11-12T12:39:28.029887Z",
     "start_time": "2025-11-12T12:39:27.817898Z"
    }
   },
   "id": "decee901c1c2f023"
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration     0 : Cost  3.5355e+02, w:  1.09e-01, b:  1.81e-02, w_gradient: -1.09e+02, b_gradient: -1.81e+01\n",
      "Iteration  1000 : Cost  8.8106e+00, w:  3.03e+00, b:  2.02e+00, w_gradient:  2.00e-01, b_gradient: -1.33e+00\n",
      "Iteration  2000 : Cost  6.0039e+00, w:  2.85e+00, b:  3.18e+00, w_gradient:  1.53e-01, b_gradient: -1.02e+00\n",
      "Iteration  3000 : Cost  4.3582e+00, w:  2.72e+00, b:  4.08e+00, w_gradient:  1.17e-01, b_gradient: -7.80e-01\n",
      "Iteration  4000 : Cost  3.3933e+00, w:  2.62e+00, b:  4.76e+00, w_gradient:  8.97e-02, b_gradient: -5.98e-01\n",
      "Iteration  5000 : Cost  2.8275e+00, w:  2.54e+00, b:  5.29e+00, w_gradient:  6.87e-02, b_gradient: -4.58e-01\n",
      "Iteration  6000 : Cost  2.4958e+00, w:  2.48e+00, b:  5.69e+00, w_gradient:  5.26e-02, b_gradient: -3.50e-01\n",
      "Iteration  7000 : Cost  2.3013e+00, w:  2.43e+00, b:  6.00e+00, w_gradient:  4.03e-02, b_gradient: -2.68e-01\n",
      "Iteration  8000 : Cost  2.1873e+00, w:  2.40e+00, b:  6.23e+00, w_gradient:  3.09e-02, b_gradient: -2.05e-01\n",
      "Iteration  9000 : Cost  2.1204e+00, w:  2.37e+00, b:  6.41e+00, w_gradient:  2.36e-02, b_gradient: -1.57e-01\n",
      "Iteration 10000 : Cost  2.0812e+00, w:  2.35e+00, b:  6.55e+00, w_gradient:  1.81e-02, b_gradient: -1.20e-01\n",
      "Iteration 11000 : Cost  2.0582e+00, w:  2.33e+00, b:  6.66e+00, w_gradient:  1.39e-02, b_gradient: -9.22e-02\n",
      "Iteration 12000 : Cost  2.0447e+00, w:  2.32e+00, b:  6.74e+00, w_gradient:  1.06e-02, b_gradient: -7.06e-02\n",
      "Iteration 13000 : Cost  2.0368e+00, w:  2.31e+00, b:  6.80e+00, w_gradient:  8.12e-03, b_gradient: -5.41e-02\n",
      "Iteration 14000 : Cost  2.0322e+00, w:  2.30e+00, b:  6.85e+00, w_gradient:  6.22e-03, b_gradient: -4.14e-02\n",
      "Iteration 15000 : Cost  2.0295e+00, w:  2.30e+00, b:  6.88e+00, w_gradient:  4.76e-03, b_gradient: -3.17e-02\n",
      "Iteration 16000 : Cost  2.0279e+00, w:  2.29e+00, b:  6.91e+00, w_gradient:  3.65e-03, b_gradient: -2.43e-02\n",
      "Iteration 17000 : Cost  2.0269e+00, w:  2.29e+00, b:  6.93e+00, w_gradient:  2.79e-03, b_gradient: -1.86e-02\n",
      "Iteration 18000 : Cost  2.0264e+00, w:  2.29e+00, b:  6.95e+00, w_gradient:  2.14e-03, b_gradient: -1.42e-02\n",
      "Iteration 19000 : Cost  2.0261e+00, w:  2.29e+00, b:  6.96e+00, w_gradient:  1.64e-03, b_gradient: -1.09e-02\n"
     ]
    }
   ],
   "source": [
    "def gradient_descent(x, y, w_init, b_init, learning_rate, cost_function, gradient_function, run_iter, p_iter=1000):\n",
    "  \n",
    "  c_hist = []\n",
    "  w_hist = []\n",
    "  b_hist = []\n",
    "  \n",
    "  w = w_init\n",
    "  b = b_init\n",
    "\n",
    "  for i in range(run_iter):\n",
    "    w_gradient, b_gradient = gradient_function(x, y, w, b)\n",
    "\n",
    "    w = w - w_gradient*learning_rate\n",
    "    b = b - b_gradient*learning_rate\n",
    "    cost = cost_function(x, y, w, b)\n",
    "\n",
    "    w_hist.append(w)\n",
    "    b_hist.append(b)\n",
    "    c_hist.append(cost)\n",
    "\n",
    "    if i%p_iter == 0:\n",
    "      print(f\"Iteration {i:5} : Cost {cost: .4e}, w: {w: .2e}, b: {b: .2e}, w_gradient: {w_gradient: .2e}, b_gradient: {b_gradient: .2e}\")\n",
    "\n",
    "  return w, b, w_hist, b_hist, c_hist\n",
    "\n",
    "def compute_gradient(x, y, w, b):\n",
    "  w_gradient = (x*(w*x+b -y)).mean()\n",
    "  b_gradient = (w*x+b -y).mean()\n",
    "  return w_gradient, b_gradient\n",
    "\n",
    "w_init = 0\n",
    "b_init = 0\n",
    "learning_rate = 1.0e-3\n",
    "run_iter = 20000\n",
    "\n",
    "w_final, b_final, w_hist, b_hist, c_hist = gradient_descent(x, y, w_init, b_init, learning_rate, compute_cost, compute_gradient, run_iter)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-11-12T11:57:48.750207Z",
     "start_time": "2025-11-12T11:57:43.196947Z"
    }
   },
   "id": "1f7d19eaa1e02768"
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 221 entries, 0 to 220\n",
      "Data columns (total 3 columns):\n",
      " #   Column    Non-Null Count  Dtype  \n",
      "---  ------    --------------  -----  \n",
      " 0   rownames  221 non-null    int64  \n",
      " 1   tv        221 non-null    float64\n",
      " 2   radio     221 non-null    float64\n",
      "dtypes: float64(2), int64(1)\n",
      "memory usage: 5.3 KB\n",
      "直线方程:  \n",
      "0.1362 x + 849\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "df = pd.read_csv('DutchAdvert.csv')\n",
    "df.info()\n",
    "x = df['tv']\n",
    "y = df['radio']\n",
    "fit = np.poly1d(np.polyfit(x, y, 1))\n",
    "print('直线方程:',fit)\n",
    "plt.title('tv vs Years radio')\n",
    "plt.xlabel('tv')\n",
    "plt.ylabel('radio')\n",
    "plt.scatter(x,y, color='red',label='Data points')\n",
    "plt.plot(x,fit(x))\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-11-16T11:22:45.174472Z",
     "start_time": "2025-11-16T11:22:45.115142Z"
    }
   },
   "id": "9af86e9aec3f8b63"
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false
   },
   "id": "da22df4fb3997323"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
